Search a number
-
+
141203101400032 = 2571098596732503
BaseRepresentation
bin100000000110110001101000…
…101100110011101111100000
3200111221212212220210002121111
4200012301220230303233200
5122001432422424300112
61220151450445233104
741512405325330530
oct4006615054635740
9614855786702544
10141203101400032
1140a9a998646061
1213a06134b62794
1360a351a6c3749
1426c23a36954c0
15114d03b5ea5a7
hex806c68b33be0

141203101400032 has 96 divisors (see below), whose sum is σ = 320995018713600. Its totient is φ = 59890614271488.

The previous prime is 141203101400027. The next prime is 141203101400041. The reversal of 141203101400032 is 230004101302141.

It is a junction number, because it is equal to n+sod(n) for n = 141203101399976 and 141203101400012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17607093 + ... + 24339595.

It is an arithmetic number, because the mean of its divisors is an integer number (3343698111600).

Almost surely, 2141203101400032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141203101400032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160497509356800).

141203101400032 is an abundant number, since it is smaller than the sum of its proper divisors (179791917313568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

141203101400032 is a wasteful number, since it uses less digits than its factorization.

141203101400032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6733488 (or 6733480 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 141203101400032 its reverse (230004101302141), we get a palindrome (371207202702173).

The spelling of 141203101400032 in words is "one hundred forty-one trillion, two hundred three billion, one hundred one million, four hundred thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 109 112 218 224 436 763 859 872 1526 1718 1744 3052 3436 3488 6013 6104 6872 12026 12208 13744 24052 24416 27488 48104 93631 96208 187262 192416 374524 655417 749048 1310834 1498096 2621668 2996192 5243336 6732503 10486672 13465006 20973344 26930012 47127521 53860024 94255042 107720048 188510084 215440096 377020168 733842827 754040336 1467685654 1508080672 2935371308 5136899789 5783220077 5870742616 10273799578 11566440154 11741485232 20547599156 23132880308 23482970464 40482540539 41095198312 46265760616 80965081078 82190396624 92531521232 161930162156 164380793248 185063042464 323860324312 630370988393 647720648624 1260741976786 1295441297248 2521483953572 4412596918751 5042967907144 8825193837502 10085935814288 17650387675004 20171871628576 35300775350008 70601550700016 141203101400032